1028267280 has 120 divisors (see below), whose sum is σ = 3467324952. Its totient is φ = 273088512.

The previous prime is 1028267243. The next prime is 1028267323. The reversal of 1028267280 is 827628201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 654541056 + 373726224 = 25584^2 + 19332^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182262 + ... + 187818.

Almost surely, 2^1028267280 is an apocalyptic number.

1028267280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028267280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733662476).

1028267280 is an abundant number, since it is smaller than the sum of its proper divisors (2439057672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1028267280 is a wasteful number, since it uses less digits than its factorization.

1028267280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1028267280 is about 32066.6069299513. The cubic root of 1028267280 is about 1009.3350130395.

The spelling of 1028267280 in words is "one billion, twenty-eight million, two hundred sixty-seven thousand, two hundred eighty".